SLQT01(3)

okay bestie, welcome to /home/abui...IN/slqt01.f(3) — that's the title — and this is the Library Functions Manual page for it. Buckle up, because this is LAPACK testing lore and it's lowkey iconic. 🦋✨

✨ NAME ✨

Bestie, the NAME is literally the whole path: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/slqt01.f. That's it. That's the name. 💅

🌸 SYNOPSIS 🌸

🧚 Functions/Subroutines 🧚

Here's the synopsis, copied exactly so nobody comes for me:

       subroutine SLQT01 (m, n, a, af, q, l, lda, tau, work, lwork, rwork,
           result)
           SLQT01

🌈 Function/Subroutine Documentation 🌈

This is the main character:

   subroutine SLQT01 (integer m, integer n, real, dimension( lda, * ) a, real,
       dimension( lda, * ) af, real, dimension( lda, * ) q, real, dimension(
       lda, * ) l, integer lda, real, dimension( * ) tau, real, dimension(
       lwork ) work, integer lwork, real, dimension( * ) rwork, real,
       dimension( * ) result)
       SLQT01

SLQT01 — yes, the subroutine itself is also just named that. 💖

🎯 Purpose 🎯

SLQT01 tests SGELQF, which computes the LQ factorization of an m-by-n matrix A, and partially tests SORGLQ which forms the n-by-n orthogonal matrix Q.

SLQT01 compares L with A*Q', and checks that Q is orthogonal. No cap. 🔥

💖 Parameters 💖

• M — M is INTEGER. The number of rows of the matrix A. M >= 0. 🫶
• N — N is INTEGER. The number of columns of the matrix A. N >= 0. 🫶
• A — A is REAL array, dimension (LDA,N). The m-by-n matrix A. 🌟
• AF — AF is REAL array, dimension (LDA,N). Details of the LQ factorization of A, as returned by SGELQF. See SGELQF for further details. 👀
• Q — Q is REAL array, dimension (LDA,N). The n-by-n orthogonal matrix Q. 🦋
• L — L is REAL array, dimension (LDA,max(M,N)). Yes bestie, that's the whole description for L. 💀
• LDA — LDA is INTEGER. The leading dimension of the arrays A, AF, Q and L. LDA >= max(M,N). 👑
• TAU — TAU is REAL array, dimension (min(M,N)). The scalar factors of the elementary reflectors, as returned by SGELQF. ✨
• WORK — WORK is REAL array, dimension (LWORK). 🎀
• LWORK — LWORK is INTEGER. The dimension of the array WORK. 🎀
• RWORK — RWORK is REAL array, dimension (max(M,N)). 🌈
• RESULT — RESULT is REAL array, dimension (2). The test ratios: RESULT(1) = norm( L - A*Q' ) / ( N * norm(A) * EPS ) and RESULT(2) = norm( I - Q*Q' ) / ( N * EPS ). 🔥

👑 Author 👑

• Univ. of Tennessee
• Univ. of California Berkeley
• Univ. of Colorado Denver
• NAG Ltd.

Definition at line 124 of file slqt01.f. 🎯

👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code. 🤖💖

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